About this Professional Certificate
The first of the two courses will introduce systems of equations, which live at the heart of linear algebra. In this course you will explore fundamental concepts by exploring definitions and theorems that give a basis for this subject. You will apply an algorithm for solving linear systems that will be used for computations and for gaining insight into the properties of linear systems. This insight will all you to reduce problems involving linear combinations of vectors to approaches that involve systems of linear equations. You will also explore linear independence and linear transformations. They have an essential role throughout applications of linear algebra in many areas of industry, science, and engineering.
In the second of these two courses you will see how we can apply the Invertible Matrix Theorem to describe how a square matrix might be used to solve linear equations. This theorem is a fundamental role in linear algebra, as it synthesizes many of the concepts introduced in the first course into one succinct concept. You will then explore theorems and algorithms that will allow you to apply linear algebra in ways that involve two or more matrices. You will examine partitioned matrices and matrix factorizations, which appear in most modern uses of linear algebra. You will also explore two applications of matrix algebra, to economics and to computer graphics.
What you'll learn
- Evaluate mathematical expressions to compute quantities that deal with linear systems.
- Construct an LU factorization of a matrix and use it to solve linear systems of equations.
- Apply matrix algebra and linear transformations to solve and analyze problems in computer graphics and economics.
- Apply subspaces and invertibility to characterize and analyze matrices and solution sets of linear systems.
From | GTx, The Georgia Institute of Technology via edX |
---|---|
Hours | 36 |
Instructor | Greg Mayer |
Language | English |
Subjects | Mathematics |
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Courses in this Professional Certificate
Listed in the order in which they should be taken
Starts | Course Information | |
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On Demand |
Linear Algebra I: Linear Equations Systems of equations live at the heart of linear algebra. In this course you will explore fundamental concepts by exploring definitions and theorems that give a basis for this... edX | GTx, The Georgia Institute of Technology |
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On Demand |
Linear Algebra II: Matrix Algebra (You were viewing this course) Your ability to apply the concepts that we introduced in our previous course is enhanced when you can perform algebraic operations with matrices. At the start of this class, you... edX | GTx, The Georgia Institute of Technology |
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|
&
From | GTx, The Georgia Institute of Technology via edX |
---|---|
Hours | 36 |
Instructor | Greg Mayer |
Language | English |
Subjects | Mathematics |
Careers
An overview of related careers and their average salaries in the US. Bars indicate income percentile (33rd - 99th).
Hons Algebra and Hons Calculus Teacher $42k
Award Winning Photojournalist, Microwave Engineer, Non-Linear Editor $51k
College Algebra Tutor $55k
Anatomy & Physiology, Algebra Tutor $55k
Regional Instructor College Algebra Consultant $55k
Teach for America Algebra Teacher $59k
Adjunct Algebra Instructor $60k
Algebra Workshop Instructor $66k
Software Engineer, Linear TV $67k
Senior Planning Analyst-Linear Solutions $79k
Linear Maintenance Technician $83k
Algebra teacher, Acclaim Program $98k
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Sorted by relevance